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Finding the Third Proportional to 387,333 and 838,987

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Solution

The third proportional to 387,333 and 838,987 is: 1,817,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,333 : 838,987 = 838,987 : x
  2. Step 2: Convert to fraction form
    387,333/838,987 = 838,987/x
  3. Step 3: Cross multiply
    387,333x = 838,987 × 838,987
  4. Step 4: Simplify right side
    387,333x = 703,899,186,169
  5. Step 5: Solve for x
    x = 703,899,186,169/387,333
  6. Step 6: Final answer
    x = 1,817,297.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.